My decomposition? (The threats are no longer even veiled)
Reddit - r/math - new (chronological) - 7d ago
#Graphs
20 posts7 participants2 posts today
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) 
https://decompwlj.com/3DgraphGen/Natural_numbers.html
My decomposition? (The threats are no longer even veiled)
Replied in thread
Now this animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages https://decompwlj.com
A little more work on axis sizing and controls.
decompwlj.comDecomposition into weight × level + jump - 3D graphs - 2D graphs - First 500 terms - Rémi EismannDecomposition into weight × level + jump with 3D graphs (WebGL three.js), 2D graphs and first 500 terms. This decomposition is an extension of the fundamental theorem of arithmetic and a new way to see the numbers. 1000 sequences decomposed (natural numbers, prime numbers, triangular numbers, composites...). Rémi Eismann
Replied in thread
4: The palindromes in base 10 (A002113) https://decompwlj.com/3DgraphGen/Palindromes.html
Continued thread
3: The triangular numbers (A000217) https://decompwlj.com/3DgraphGen/Triangular_numbers.html
Continued thread
2: The prime numbers (A000040) https://decompwlj.com/3DgraphGen/Prime_numbers.html
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html
My decomposition? (Reddit - r/math - new- 5 day ago)
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html
Replied in thread
Now this animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages https://decompwlj.com
A little more work on axis sizing and controls.
decompwlj.comDecomposition into weight × level + jump - 3D graphs - 2D graphs - First 500 terms - Rémi EismannDecomposition into weight × level + jump with 3D graphs (WebGL three.js), 2D graphs and first 500 terms. This decomposition is an extension of the fundamental theorem of arithmetic and a new way to see the numbers. 1000 sequences decomposed (natural numbers, prime numbers, triangular numbers, composites...). Rémi Eismann
Replied in thread
4: The palindromes in base 10 (A002113) https://decompwlj.com/3DgraphGen/Palindromes.html
Continued thread
3: The triangular numbers (A000217) https://decompwlj.com/3DgraphGen/Triangular_numbers.html
Continued thread
2: The prime numbers (A000040) https://decompwlj.com/3DgraphGen/Prime_numbers.html
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html
And as an added bonus: Dileep George, one of the authors of the paper, just shared a #JupyterNotebook demo 
. You can explore the #CSCG model, visualize #PlaceFields, and inspect the learned #latent #graphs 
Just try it out, it's great fun 
colab.research.google.comGoogle Colab
This paper by Raju et al. proposes a unified model – “clone‑structured causal #graphs” (#CSCG) – for #hippocampal #SpatialCoding. It suggests that #SpatialMaps arise from #learning #latent higher‑order sequences rather than representing #EuclideanSpace directly. The model elegantly explains phenomena like #PlaceFields, #SplitterCells, #contextual #remapping, and predicts when #PlaceFieldMapping may mislead.
Generation of four sequences decomposed into weight × level + jump (log(weight), log(level), log(jump)) - three.js animation:
1: The natural numbers (A000027) https://decompwlj.com/3DgraphGen/Natural_numbers.html
Continued thread
Now this animation is available for the 1000 sequences decomposed on my website.
Accessible from the 3Dgraph, 2Dgraph500terms and 2dgraphs pages https://decompwlj.com
A little more work on axis sizing and controls.
decompwlj.comDecomposition into weight × level + jump - 3D graphs - 2D graphs - First 500 terms - Rémi EismannDecomposition into weight × level + jump with 3D graphs (WebGL three.js), 2D graphs and first 500 terms. This decomposition is an extension of the fundamental theorem of arithmetic and a new way to see the numbers. 1000 sequences decomposed (natural numbers, prime numbers, triangular numbers, composites...). Rémi Eismann